UPSC Government Jobs Exams

Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut? [UPSC 2009(CS-P)]
a) 27
b) 36
c) 43
d) 480

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UPSC Other Question

A question paper had ten questions. Each question could only be answered as True (T) or False (F). Each candidate answered all the questions. Yet, no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?[UPSC 2010 (CS-P)]
a) 20
b) 40
c) 512
d) 1024 Half of the villagers of a certain village have their own houses. One fifth of the villagers cultivate paddy. One third of the villagers are literate. Four fifth of the villagers are below twenty five. Then, which one of the following is certainly true? [UPSC 2010 (CS-P)]
1) All the villagers who have their own houses are literate.
2) Some villagers under twenty five are literate.
3) A quarter of the villagers who have their own houses cultivate paddy.
4) Half of the villagers who cultivate paddy are literate.